002 s.a. of prisms
TRANSCRIPT
![Page 1: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/1.jpg)
OBJECTIVE
To find lateral area
and surface area
of a polyhedron,
the prism
![Page 2: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/2.jpg)
Key Terms
Polyhedron
Altitude
Lateral Area
Net
![Page 3: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/3.jpg)
Three-dimensional figures, or solids, can be made
up of flat or curved surfaces. Each flat surface is
called a face. An edge is the segment that is the
intersection of two faces. A vertex is the point that is
the intersection of three or more faces.
![Page 4: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/4.jpg)
![Page 5: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/5.jpg)
A cube is a prism with six square faces. Other
prisms and pyramids are named for the shape
of their bases.
![Page 6: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/6.jpg)
PostulateWrite the formula for the
volume of a right
rectangular prism.
V = lwh We will assume prisms
are RIGHT from now on
![Page 7: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/7.jpg)
VocabularyPolyhedron- A
geometric solid with
polygons as faces.
![Page 8: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/8.jpg)
NEW DEFINITIONPrism-A polyhedron
with two polygonal
bases that are parallel
and congruent.
![Page 9: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/9.jpg)
Right Prism - lateral edges
are perpendicular to the
planes of the bases.
![Page 10: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/10.jpg)
VocabularyAltitude of a Prism - any
segment perpendicular
to the planes
containing the bases
with endpoints in these
planes. ( same as
HEIGHT)
![Page 11: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/11.jpg)
VocabularyNet - a figure that can be
folded to enclose a
particular solid figure
![Page 12: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/12.jpg)
ClassworkDraw a net for a right
triangular prism.
Draw a net for a right
pentagonal prism.
![Page 13: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/13.jpg)
Classwork
![Page 14: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/14.jpg)
Classwork
![Page 15: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/15.jpg)
Example 2A: Identifying a Three-
Dimensional Figure From a Net
Describe the three-dimensional figure that can be
made from the given net.
The net has six
congruent square
faces. So the net
forms a cube.
![Page 16: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/16.jpg)
Example 2B: Identifying a Three-
Dimensional Figure From a Net
Describe the three-dimensional figure that can be
made from the given net.
The net has one circular
face and one
semicircular face. These
are the base and sloping
face of a cone. So the net
forms a cone.
![Page 17: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/17.jpg)
Check It Out! Example 2a
Describe the three-dimensional figure that can be
made from the given net.
The net has four
congruent triangular
faces. So the net
forms a triangular
pyramid.
![Page 18: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/18.jpg)
Check It Out! Example 2b
Describe the three-dimensional figure that can be
made from the given net.
The net has two circular
faces and one
rectangular face. These
are the bases and curved
surface of a cylinder. So
the net forms a cylinder.
![Page 19: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/19.jpg)
Lateral Area of a Prism -
sum of the areas of the
lateral faces.
Surface Area of a Prism -
sum of the lateral area
and the areas of the two
bases
![Page 20: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/20.jpg)
Classwork
![Page 21: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/21.jpg)
LATERAL AREA
![Page 22: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/22.jpg)
SURFACE AREA
![Page 23: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/23.jpg)
Prisms and cylinders have 2 congruent parallel
bases.
A lateral face is not a base. The edges of the base are
called base edges. A lateral edge is not an edge of a
base. The lateral faces of a right prism are all
rectangles. An oblique prism has at least one
nonrectangular lateral face.
![Page 24: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/24.jpg)
Lateral Area of a Right Prism
Is their a short cut for
finding the lateral
area ?
![Page 25: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/25.jpg)
Lateral Area of a Right Prism
The lateral area LA of a
right prism with height
h and perimeter of
base p is:
LA = Hp or L = Hp
![Page 26: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/26.jpg)
Surface Area of a Right
PrismThe surface area SA of a
right prism with lateral LA
and the area of a base B
is:
SA = LA + 2B
or S =L + 2B
![Page 27: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/27.jpg)
Volume
Volume equals Area of the
Base times the Height of the
object.
V = BHArea of the Base x Height of the object
![Page 28: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/28.jpg)
Find the LA
![Page 29: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/29.jpg)
Find the SA
![Page 30: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/30.jpg)
Lateral Area of a Right Prism
Find the lateral area LA
of a right prism with
height 10cm, if the
base is a regular
hexagon with side
3cm.
![Page 31: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/31.jpg)
Find the surface area
SA of a right prism
with height 10cm, if the
base is a regular
hexagon with side
3cm.(round answer to
nearest hundredth)
![Page 32: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/32.jpg)
Example 1: Drawing Orthographic Views of
an Object
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
![Page 33: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/33.jpg)
Example 1 Continued
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
Bottom
![Page 34: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/34.jpg)
Example 1 Continued
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
![Page 35: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/35.jpg)
Example 1 Continued
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
![Page 36: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/36.jpg)
Check It Out! Example 1
Draw all six orthographic views of the given object.
Assume there are no hidden cubes.
![Page 37: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/37.jpg)
Check It Out! Example 1 Continued
![Page 38: 002 s.a. of prisms](https://reader031.vdocument.in/reader031/viewer/2022020116/559829e91a28abe9308b46e0/html5/thumbnails/38.jpg)
Classwork/HomeworkPractice and Apply 7.2
P685 #’s 13-26 and 28-31